Theorems · Definition · number theory
NumberField.mixedEmbedding.realSpace
(K : Type u_1) → [Field K] → Type u_1
The realSpace associated to a number field K is the real vector space indexed by the
infinite places of K.
- Cited by
- 87 results in Mathlib
- Foundations
- Depth 138 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- NumberField.InfinitePlaceproof · cited by 604
Cited by99
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.fundamentalCone.expMapBasisstatement · cited by 30
- NumberField.mixedEmbedding.normAtAllPlacesstatement · cited by 30
- NumberField.mixedEmbedding.fundamentalCone.expMapstatement · cited by 23
- NumberField.mixedEmbedding.mixedSpaceOfRealSpacestatement · cited by 20
- NumberField.mixedEmbedding.fundamentalCone.paramSetstatement · cited by 18
- NumberField.mixedEmbedding.fundamentalCone.completeBasisstatement · cited by 16
- NumberField.mixedEmbedding.fundamentalCone.compactSetstatement · cited by 11
- NumberField.mixedEmbedding.normAtComplexPlacesstatement · cited by 8
- NumberField.mixedEmbedding.fundamentalCone.expMapBasis_posstatement and proof · cited by 7
- NumberField.mixedEmbedding.normAtPlace_mixedSpaceOfRealSpacestatement and proof · cited by 6
- NumberField.mixedEmbedding.fundamentalCone.completeFamilystatement · cited by 5
- NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpacestatement and proof · cited by 5